An assumed-stress hybrid element for modeling of plates with shear deformations on elastic foundation

Kutlu Darilmaz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

In this paper a four-node hybrid stress element is proposed for analysing arbitrarily shaped plates on a two parameter elastic foundation. The element is developed by combining a hybrid plate stress element and a soil element. The formulation is based on Hellinger-Reissner variational principle in which both inter element compatible boundary displacement and equilibrated stress fields for the plate as well as the foundation are chosen separately. This formulation also allows a low order polynomial interpolation functions. Numerical examples are presented to show that the validity and efficiency of the present element for the plate analysis resting on an elastic foundation. In these examples the effect of soil depth, interaction between closed plates on soil parameters, comparison with Winkler hypothesis is investigated.

Original languageEnglish
Pages (from-to)573-588
Number of pages16
JournalStructural Engineering and Mechanics
Volume33
Issue number5
DOIs
Publication statusPublished - 30 Nov 2009

Keywords

  • Assumed stress hybrid formulation
  • Elastic foundation
  • Finite element
  • Plate

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